#Help with Truth Table.

9 messages · Page 1 of 1 (latest)

knotty fulcrum
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Hello! I'm looking for help with this truth table assignment. I'm not really sure how Truth Tables work, and when I looked it up I got a few different perspectives, but I missed the classes where they fully covered the mechanics of how exactly Truth Tables are completed. Any help or just a wave in the right direction would be appreciated.

stuck root
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Multiplication of operations is only 1 if all operations being multiplied are 1, so if W is 1 (Not W = 0) or Z is zero, the whole thing is zero

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Else if X+Y is 1, the whole thing is one

keen abyss
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When you generate truth tables, you need to write down all variables and all the possible combinations of 1s (true) and 0s (false).
For two variables you will have 4 possible combinations:
00
01
10
11
For thee you will have 8:
000
001
010
011
100
101
110
111

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In your case you have 4:
w x y z

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Once you figure out all the combinations, you slowly break down the expression you have. For example, your expression starts with not w, so the next column will be inverted values of w

knotty fulcrum
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I see, thanks for weighing in! I'll give that a shot, and see how far I get.

keen abyss
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Yep, try it

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You can then do X+Y which is the "or" table. You look at what your X and and Y values are from the first columns amd write the result based on how X+Y behaves in the provided tables